# What are the points of inflection of #f(x)= x^3 + 5x^2 + 4x - 3#?

There is only one point of inflection at

graph{[-10.915, 9.08, -5.74, 4.26]} x^3+5x^2+4x-3

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To find the points of inflection, you need to find the second derivative of the function, set it equal to zero, and solve for x. Then, determine the concavity of the function around those points by checking the sign of the second derivative. If the concavity changes from concave up to concave down or vice versa, those points are points of inflection.

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